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It's been a while, and I do so take pleasure in these challenges, so I offer them here, in hopes that you'll enjoy them, too.

1. What happens twice in a week, once in a year, but never in a day?

2. Mary's father has 4 children; the first three are named 'Nana', 'Nene', and 'Nini'. What is the fourth child's name?

3. There is a word in which the first two letters signify a male, the first three a female, the first four a great man, and the whole word a great woman. What is it?

4. A man rides to town on Friday. He stays there for three days. Witnesses say he left town on Friday. How can this be?

5. How is a raven like a writing desk?

6. Who among you is the most disliked by the party?

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1. The letter 'e'.

2. 'Mary', duh.

3. 'Heroine'

4. The horse is named 'Friday'.

5. They both open with a flap.

6. Not technically a riddle, as it has no 'correct' answer (I hope). Your group's reaction, however, may be quite amusing; it may even elicit some laughs as they reach a consensus. Afterward, just say "If you all agree, then it must be so" and carry on.

Not bad; quite entertaining, in my opinion. But those dealing with a particularly smart/intuitive/experienced player may need more. Something neigh unsolvable, perhaps?

http://en.wikipedia.org/wiki/Category:Probability_theory_paradoxesThese selections, while unquestionably intricate, are somewhat relatable, as they often deal with matters of chance, rather than pure, technical knowledge.

http://en.wikipedia.org/wiki/List_of_unsolved_problemsDownright nasty in complexity; feel free to conjure a solution of your own, as applicable in your setting of choice.